Schaum's Outline of Theory and Problems of Advanced Calculus, Issue 2-- First edition (1968) sold more than 347,000 copies and was translated into nine languages -- Advanced calculus is a required course for over 163,000 students, including all math majors and many science and engineering majors -- Important new chapters, on Topology and LaPlace Transforms enhance the book's cross-disciplinary usage -- Contains essential new theorems with explanatory proofs |
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a₁ absolutely convergent called Chapter complex numbers constant continued fraction continuous conv corresponding cos² curvilinear coordinates defined DEFINITE INTEGRALS denoted differentiable diverges dx converges dx dx dx dy dx x² dy dx elliptic integral equation Evaluate exists f(xo Fourier series function given graph Green's theorem IMPROPER INTEGRALS infinite integral becomes interval Jacobian Let f(x lim f(x limit line integral mean value theorem Method obtain Parseval's identity partial derivatives positive number power series Problem 13 Prove that lim rational number real numbers required result follows respectively sequence series converges sin² single-valued Sn(x surface tangent Taylor's theorem theorem transformation u₁ Un+1 uniformly convergent variable vector x=xo xy plane zero аф ди ду дф дх მა მყ